SEBI Grade A Statistics — practice questions

Explore 2 free Statistics questions in SEBI Grade A Quantitative Aptitude. Open each question or exercise to read its content, reference answers and available explanation.

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If the arithmetic mean of the series x₁, x₂, …, xₙ is 1, then the arithmetic mean of x₁/k, x₂/k, …, xₙ/k (k > 0) is:Read the answer and worked solution →Find the LCM of the mode, median and mean of the data: 7, 2, 10, 4, 3, 12, 8, 4, 6, 4.Read the answer and worked solution →

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If the arithmetic mean of the series x₁, x₂, …, xₙ is 1, then the arithmetic mean of x₁/k, x₂/k, …, xₙ/k (k > 0) is:

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Correct answer: A. 1/k

1. Mean of original series = (Σxᵢ)/n = 1, so Σxᵢ = n. 2. New mean = (Σ (xᵢ/k))/n = (Σxᵢ)/(kn) = n/(kn). 3. = 1/k. _Source: RRB Group D CEN-02/2018 PYQ, Q.25._

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Find the LCM of the mode, median and mean of the data: 7, 2, 10, 4, 3, 12, 8, 4, 6, 4.

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Correct answer: D. 60

1. Mean = (7+2+10+4+3+12+8+4+6+4)/10 = 60/10 = 6. 2. Sorted: 2,3,4,4,4,6,7,8,10,12; median = (4+6)/2 = 5; mode = 4 (most frequent). 3. LCM of 4, 5, 6 = 60. _Source: RRB Group D CEN-02/2018 PYQ, Q.13._